Answer:
x = 68°
explanation:
As its a right angle triangle, it has 90° angle.
solve:
x + 22° = 90°
x = 90° - 22°
x = 68°
Lets , find the value of x :
\(→ x + 22° = 90° \) \(\bold\green{[ Right \: angle ] }\)
\(→ x = 90° - 22°\)
\(→ x = 68°\)
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
Which graph represents a reflection of f(x) = One-third(9)x across the x-axis?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and increases to (1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It goes through (negative 1, 3) and (negative 1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 3) and (1.25, negative 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 4 and decreases into quadrant 3. It goes through (negative 1, negative 3) and (negative 1.25, negative 7).
Using translation concepts, the graph that represents a reflection of \(f(x) = \frac{1}{3}(9)^x\) across the x-axis is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function is:
\(f(x) = \frac{1}{3}(9)^x\)
Which approaches y = 0 in quadrant 2 and increases into quadrant 1. For the reflection over the x-axis, the function assumes inverse(negative) values, that is, quadrant 2 -> quadrant 3 and then quadrant 1 -> quadrant 4, hence the correct statement is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
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The graph which represents a reflection of f(x) = One-tenth(10)x across the y-axis is:
B. On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1).
Coordinate Plane
This refers to the two-dimensional surface which is made up of two number lines, x and y.
With this in mind, we can see that from the complete text, we can see that the given graph on the function of x on the y-axis is on a coordinate plane.
Therefore, the correct answer is option B
Joel wanted to buy some games and controllers for his Playstation 4. He bugs 2 games and 3
controllers for $242 Omar bought 4 games and 1 controller for $281.50. How much are games and
how much are controllers?
Answer:
I think the games r 50$ a piece a d the controllers r 81$
The number of games are 60.25 and number of controllers are 40.5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Joel wanted to buy some games and controllers for his Playstation 4.
Let x be number of games and y be the number of controllers.
Joel bugs 2 games and 3 controllers for $242
2x+3y=242..(1)
Omar bought 4 games and 1 controller for $281.50.
4x+y=281.5...(2)
Multiply equation 1 with 2.
4x+6y=484..(3)
Subtract 3 from equation 2.
4x+y-4x-6y=281.5-484
-5y=-202.5
Divide both sides by 5
y=40.5
Now plug in y value in equation 1
2x+3(40.5)=242
2x+121.5=242
2x=242-121.5
2x=120.5
Divide both sides by 2
x=60.25
Hence, the number of games are 60.25 and number of controllers are 40.5.
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Beth simplified the expression 8 + 10 + 8 + 2 minus (4 times 1.4) minus (4 times 1.4) to find the perimeter of the figure on the grid.
On a coordinate plane, a figure has side lengths of 8, 10, 8, 2, (4 times 1.4), (4 times 1.4).
What error did Beth make?
She found the area of the figure instead of the perimeter.
She subtracted the lengths of the diagonal lines instead of adding them.
She used 4 times 1.4 to represent the length of each diagonal line instead of 4.
She added the horizontal and vertical lengths instead of multiplying them.
Answer:
Step-by-step explanation:
the answer is 16.8
Explanation: well for starters you have to do what's in the parenthesis, so 4 times 1.4 is equal to 5.6. so now we add up the equation and get 28, so now we are left with 28-5.6-5.6 which equals 16.8
hoped this helped;)
Answer:
She subtracted the lengths of the diagonal lines instead of adding them.
Step-by-step explanation:
Andrew worked over 40 hours this week. He earns $12 an hour and gets paid time and a half for overtime. If x represents total hours worked, which equation will result in the
amount of money earned for the week?
Answer:
y = 480 + 1.5 (x-40)
Step-by-step explanation:
sometimes its better to answer the question and make the formula from that
40 x 12 = 480
1.5 for overtime
x
y = 480 + 1.5 (x-40)
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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Antonio is in a bowling league. His goal is to score an average of at least 100 points per game. His scores so far are 105,95,97,82, and 110. How many points can Antonio score in his next game to reach his goal? Show your work.
Please show work I need it so please have step by step I will give brainly thanks!
Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.
What are basic arithmetic operations?
Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.
To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:
Total points needed = (number of games + 1) × average score goal - total points scored so far
In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:
105 + 95 + 97 + 82 + 110 = 489
Substituting these values into the formula, we get:
Total points needed = (6) × (100) - 489
Total points needed = 600 - 489
Total points needed = 111
Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.
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A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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A rectangular pyramid with a height of 21 cm has a volume of 728 cm³. Calculate the length of its base if its breadth is 8 cm.
Hello !
Answer:
\(\Large \boxed{\sf length=13cm}\)
Step-by-step explanation:
The volume of a pyramid is given by \(\sf V_{pyramid}=\frac{1}{3} \times B\times h\) where B is the area of the base and h is the height.
This is a rectangular pyramid. We have where \(\sf B=l\times w\) l is the length and w is the width (breadth).
So \(\sf V_{pyramid}=\frac{1}{3} \times l\times w\times h\)
Given :
h = 21 cmw = 8 cml = x\(\sf V_{pyramid}=728cm^3\)Let's replace h, w, l, \(\sf V_{pyramid}\) with their values in the previous formula :
\(\sf 728=\frac{1}{3} \times x\times 8 \times 21\\728=56x\)
Let's solve for x !
Divide both sides by 56 :
\(\sf \frac{56x}{56} =\frac{728}{56}\\ \boxed{\sf x=13cm}\)
Have a nice day ;)
I need help with 4,6,7 and 8
Answer:
4) 180
6)194.4
7) 691.2
8) 8.1
Step-by-step explanation:
I think....srry if im wrong
What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
I NEED THIS ASAP
Answer:
\(H = 53.30\)
Step-by-step explanation:
Given
\(Side\ 1 = 7x + 41\)
\(Side\ 2 = 5x\)
Required
Determine side x
The hypotenuse (H) is calculated using:
\(H^2 = Side\ 1^2 + Side\ 2^2\)
\(H^2 = (7x + 41)^2 + (5x)^2\)
Substitute 9 for x:
\(H^2 = (7*9 + 41)^2 + (5*9)^2\)
\(H^2 = 10816 + 2025\)
\(H^2 = 12841\)
So:
\(H = \sqrt {2841\)
\(H = 53.30\)
A software development company is voting to elect a president, a secretary, a treasurer, and three directors. If a total of 11 qualified candidates applied for these positions, in how many ways can the positions be filled?
The ways to elect the candidates from the total is 462
How to determine the ways of selection?From the question, we have
Total number of candidate, n = 11Numbers to selection, r = 6 i.e. the president, a secretary, a treasurer, and three directorsThe number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 11 and r = 6
Substitute the known values in the above equation
Total = ¹¹C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 11!/5!6!
Evaluate
Total = 462
Hence, the number of ways is 462
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what's a quarter of 46.5
Answer:
11.625 or mixed number form 11 \(\frac{5}{8}\)
Step-by-step explanation:
divide 46.5 by 4
There was 1.8 l of milk in a bottle. Peter drank 30% of the milk.
How much milk did he drink?
Answer:
0.54 ltres
Step-by-step explanation:
30/100 x 1.8 = 0.54 l
thank u if u help I’m in question 16 out of 35:(
Answer:
The answer is 20 because when you divide 56 by 2.8 you get 20
Jane ran 15.2 miles she ran 6.7 miles on Saturday how many miles did she run on Sunday
Answer:
8.5
Step-by-step explanation
15.2 - 6.7 = 8.5
And She Ran 15.2 Miles IN ALL.
5. Refer to the figure shown. Determine the measure of
the unknown angle. Show or explain your thanking.
Answer:
you haven't posted any diagram
Step-by-step explanation:
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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The table below shows the number of students who attend various after-school activities. After-School Activities Activity Number of Students Spanish Club 19 Basketball 24 Drama 15 Homework Help 17 Soccer 20 Which ratio compares the number of students in the Spanish club to the total number of students? a.19:95 b.20:95 c.95:24 c.95:19
Answer:
C. 95:19
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
because the total number of students is 95 and those who play Spanish club is 19
Which graph shows the solution set of x2 + 9x + 20 / x2 - x -20 > 0 ?
Answer:
B Is correct
Step-by-step explanation:
Solve the solution set and divide to get the points and whether to fill them in or not.
-5 filled in, and 5 open circle
The graph of the solution set can be seen in option B.
What is a solution set?
The solution set is the set representing all solutions for an equation. It is also the roots that obey a quadratic equation or an inequality.
From the given equation, we have:
\(\mathbf{\dfrac{x^2+9x+20}{x^2-x-20}\ge 0}\)
Let's factor out the quadratic equation, we have:
\(\mathbf{\dfrac{(x+4)(x+5)}{(x+4)(x-5)}\ge 0}\)
By identifying the intervals;
x ≤ -5 or x > 5
The representation of these intervals on a graduated scale on a number line can be seen in the image attached below.
Therefore, we can conclude that the correct graph that show the solution set to the given equation can be seen in Option B.
Question is down in the image|||
Answer:
A
Step-by-step explanation:
Please help me I have no clue what this is steps would be great I have a exam and I have no clue what I'm doing anyways... HELP MEEEEEE if you have time to help me with this that would be amazing.
Answer:
D. Infinitely Many Answers
Step-by-step explanation:
Simply the function -x+4(x-2)
-x+4x-8
3x-8
Notice it is the same with the the first function
Thus, they are the same function, so they intersect each other infinitely many.
18. If geeta saves 40% of his monthly income and she spends Rs. 15000 every month, find her monthly income
Answer:
Her monthly income is Rs. 21000
Step-by-step explanation:
15000 x ( 1 + 40 % )
= 15000 x 140 %
= 21000
If f(x)=x² – 4x, what is the value of 2f(a-1)?
The correct value of 2f(a-1) is 2a^2 - 12a + 10.
To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.
Given: f(x) = x^2 - 4x
Substituting (a-1) into the function:
f(a-1) = (a-1)^2 - 4(a-1)
Expanding and simplifying:
f(a-1) = (a^2 - 2a + 1) - (4a - 4)
f(a-1) = a^2 - 2a + 1 - 4a + 4
f(a-1) = a^2 - 6a + 5
Now, we multiply the result by 2:
2f(a-1) = 2(a^2 - 6a + 5)
Expanding:
2f(a-1) = 2a^2 - 12a + 10
Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.
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At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving
The question is incomplete. Here is the complete question.
USA Today reported that 36% of adult drivers admit that they often or sometimes talk on a cell phone when driving. This was based on a random sample of 1004 adult drivers.
a) What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
b) What is a 95% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
c) What is a 99% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
d) What do you notice?
Answer and Step-by-step explanation: The way to calculate confidence interval for proportions is by using the following formula:
\(z(\sqrt{\frac{p(1-p)}{n} } )\)
where
p is the sample population proportion
n is the number of individuals in the sample
z is z-score associated of the % of confidence
a) A 90% confidence has a z-score of z = 1.645
Calculating:
Interval = \(1.645(\sqrt{\frac{0.36(1-0.36)}{1004} } )\)
Interval = \(1.645(\sqrt{0.00023} )\)
Interval = \(1.645(0.01515)\)
Interval = 0.025
A 90% Confidence interval for true population is between 0.335 and 0.385.
b) A 95% confidence has a z-score of z = 1.96
Since the sample parameter didn't change, the interval will be:
Interval = 1.96(0.01515)
Interval = 0.03
For a 95% confidence, interval is between 0.33 and 0.39.
c) A 99% confidence has a z-score of z = 2.58
Interval = 2.58(0.01515)
Interval = 0.39
For a 99% confidence, interval is between -0.03 and 0.75
d) Confidence interval tells you how certain your results from polling or survey would represent the real population's behaviour. In the experiment above, as the percentage of certainty grows, closer the real population proportion actually is for adult drivers who often or sometimes talk on a cell phone when driving.
It is estimated that one honeybee can make about 1/12 teaspoon of honey in its lifetime. How many honeybees will it take to make 2 tablespoons of honey?
One tablespoon is equivalent to
3 teaspoons.
The number of honeybees which it will take to make the required 2 tablespoons of honey as required in the task content is; 72.
How many honeybees will it take to make 2 tablespoons of honey?It follows from the conversion factor given in the task content that;
3 teaspoons is equivalent to 1 tablespoon.
Hence, 1/12 teaspoons is equivalent to;
= (1/12 ×1) ÷ 3
= 1/36 tablespoons.
On this note, one honeybee can make 1/36 tablespoons of honey in its lifetime.
Hence, if 2 tablespoons of honey is needed, the number of honeybees required is; 2/(1/36)
= 2 ÷ 1/36
= 2 × 36
= 72 honeybees.
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I need help with this question x2 - 16y2
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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